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2 years ago

Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of

Mathematics

1 answer:

Natasha2012 [34]2 years ago

7 0

Answer:

The correct option is;

B. The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy

Step-by-step explanation:

The given requirements are;

Volume of air and water to be filtered by the robot = 343 liters

The amount of energy consumed by the robot < 49 joules

The number of minutes the robot filters air and water to filter more than 343 liters = 12A + 8W > 343

The number of minutes the robot filters air and with less than 49 Joule of energy = 3A + 4W < 49

Given that filtering air takes 20 minutes, filtering water takes 15 minutes, we have;

To filter more than 343 liters, we have

12*20 + 8*15 = 360 > 343

The robot meets the amount of air and water requirement

To filter with less than 49 joules we have

3*20 + 4*15 = 120 > 49

Therefore, the robot does not meet the energy requirement

The correct option is the robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.

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Zac wants to lay new carpet in the entrance and hallway of his house as shown below.

andreev551 [17]

Answer: a

Step-by-step explanation:

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1 year ago

Read 2 more answers

Complete the table of inputs and outputs for the given function g(x)=3-8x.

Andreas93 [3]

Answer:

The answers to your questions are given below.

Step-by-step explanation:

From the question given above,

g(x) = 3 – 8x

Thus, we can complete the table given in question above as follow:

1. Determination of x

g(x) = 0

x =?

g(x) = 3 – 8x

0 = 3 – 8x

Collect like terms

0 – 3 = – 8x

– 3 = – 8x

Divide both side by –8

x = – 3 / –8

x = 3/8

2. Determination of g(x)

x = 0

g(x) =.?

g(x) = 3 – 8x

g(x) = 3 – 8(0)

g(x) = 3 – 0

g(x) = 3

3. Determination of x

g(x) = – 5

x =?

g(x) = 3 – 8x

– 5 = 3 – 8x

Collect like terms

– 5 – 3 = – 8x

– 8 = – 8x

Divide both side by – 8

x = – 8 / – 8

x = 1

4. Determination of g(x)

x = 3

g(x) =.?

g(x) = 3 – 8x

g(x) = 3 – 8(3)

g(x) = 3 – 24

g(x) = – 21

Summary

x >>>>>>>>>>>>>>> g(x)

3/8 >>>>>>>>>>>>> 0

0 >>>>>>>>>>>>>>> 3

1 >>>>>>>>>>>>>>>> – 5

3 >>>>>>>>>>>>>>> – 21

6 0

2 years ago

In estimating the mean score on a fitness exam, we use an original sample of size n = 30 and a bootstrap distribution containing

ioda

Answer:

C. 67.5 to 72.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The width of the interval is determined by it's margin of error, which is given by the following formula:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

So, as n increases, the margin of error decreases, and the interval gets smaller.

Using 10,000 bootstrap samples for the distribution:

We increase the sample size, which means that the interval gets smaller.

We had 67 to 73, since it got smaller, it will be from a value higher than 67 to a value lower than 73.

So the correct answer is:

C. 67.5 to 72.

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2 years ago

13. For what value of b would the following system of equations have an infinite number of solutions?

tiny-mole [99]

Answer:

b=2

Step-by-step explanation:

we have

9x+12y=21 -----> equation A

6x+8y=7b ----> equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b ----> equation C

Compare equation A and equation C

9x+12y=21 -----> equation A

9x+12y=10.5b ----> equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

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2 years ago

A community group sells 2,000 tickets for its raffle. The grand prize is a car. Neil and 9 of his friends buy 10 tickets each. W

NeTakaya

Answer:

1/100

Step-by-step explanation:

It's because he and his 9 friends so 10 people each by 10 tickets. Ten times ten is 100 so it is one out of one-hundred.

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2 years ago